Global Holder regularity for the fractional p-Laplacian

A. Iannizzotto; S. Mosconi; Marco Squassina

doi:10.4171/RMI/921

Global Holder regularity for the fractional p-Laplacian

A. Iannizzotto
, S. Mosconi
, Marco Squassina

Risultato della ricerca: Contributo in rivista › Articolo › peer review

89 Citazioni (Scopus)

Abstract

By virtue of barrier arguments we prove C alpha-regularity up to the boundary for the weak solutions of a non-local, non-linear problem driven by the fractional p-Laplacian operator. The equation is boundedly\r\ninhomogeneous and the boundary conditions are of Dirichlet type.

Lingua originale	Inglese
pagine (da-a)	1355-1394
Numero di pagine	40
Rivista	Revista Matematica Iberoamericana
Volume	32
Numero di pubblicazione	4
DOI	https://doi.org/10.4171/RMI/921
Stato di pubblicazione	Pubblicato - 2016

All Science Journal Classification (ASJC) codes

Matematica generale

Keywords

fractional p-Laplacian
global Holder regularity

Accesso al documento

10.4171/RMI/921

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title = "Global Holder regularity for the fractional p-Laplacian",

abstract = "By virtue of barrier arguments we prove C alpha-regularity up to the boundary for the weak solutions of a non-local, non-linear problem driven by the fractional p-Laplacian operator. The equation is boundedly\textbackslash{}r\textbackslash{}ninhomogeneous and the boundary conditions are of Dirichlet type.",

keywords = "fractional p-Laplacian, global Holder regularity, fractional p-Laplacian, global Holder regularity",

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T1 - Global Holder regularity for the fractional p-Laplacian

AU - Iannizzotto, A.

AU - Mosconi, S.

AU - Squassina, Marco

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AB - By virtue of barrier arguments we prove C alpha-regularity up to the boundary for the weak solutions of a non-local, non-linear problem driven by the fractional p-Laplacian operator. The equation is boundedly\r\ninhomogeneous and the boundary conditions are of Dirichlet type.

KW - fractional p-Laplacian

KW - global Holder regularity

KW - fractional p-Laplacian

KW - global Holder regularity

UR - https://publicatt.unicatt.it/handle/10807/87030

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JO - Revista Matematica Iberoamericana

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Global Holder regularity for the fractional p-Laplacian

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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